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3 years ago

13

the theoretical probability choosing a purple marble out of a 2/3 bag is. The bag has 16 purple marbles. How many marbles are in

the bag?

1 answer:

algol [13]3 years ago

8 0

Answer:

24 marbles

Step-by-step explanation:

P( purple) = 2/3 = purple/total

2/3 = 16/total

Using cross products

2 * total = 3 *16

2 * total = 48

total = 24

There are 24 marbles

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3 years ago

The length of a rectangle is twice as long as the width of the rectangle.

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Step-by-step explanation:

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Note that, Area of a rectangle = Length × Width

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2 years ago

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3 years ago

Read 2 more answers

You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return

ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = $\frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6}$ miles

Since both the distance are equal we can equate and solve:

$\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3$

Plugging this x = 3 into the total distance expression, we get:

$\frac{5x-3}{6}\\\frac{5(3)-3}{6}\\=2$

Total distance, 2 miles

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3 years ago